I think that doing it on Heroic difficulty gives a better chance for strike-specific gear. Just by running heroic strikes I've gotten Taniks Cloak, Darkblade Helm, Tread Upon Stars, and the fusion rifle from the Darkblade as well. And I don't run very many heroic strikes.
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Ive gotten those gauntlets and the flayer cape, treads(shit roll) and the lmg from taniks all on heroic. I think you're right about the higher drop rates.
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You sir are one of the kids that get lucky on all drops! Mister meahagi (wax on wax off)